Hm. I've not read it, but I have read a rather scathing review of it by Martin Gardner (whose opinions I usually respect). disagreeing with it on fundamental philosophical grounds.
I find MG fantastic, but sometimes his articles and books lack depth. He is a wonderful writer and populariser, but I wonder whose side I would take if this were a real debate.
But it isn't. There's room for both opinions. I've never met Gardner and am now unlikely to do so, but I know a few people who know him fairly well. I'll ask their opinion when I get the chance.
Do you have a reference for that review?
http://www.cs.nyu.edu/pipermail/fom/1997-November/000128.htm...
http://books.google.com/books?id=oXEaTdstD7gC&pg=PA280&#...
I did not find it scathing, but rather of mixed opinions. He criticizes the sort of mathematical "cultural relativism" that the authors sometimes suggest, but he also praises the book's treatment of specific topics as accessible and inspiring.
Thanks for noting this review, because this book is one I like and often recommend to less-technical people, and I had never encountered it before.